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Finding the Third Proportional to 432,420,239 and 645,796,743

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Solution

The third proportional to 432,420,239 and 645,796,743 is: 964,463,259.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,420,239 : 645,796,743 = 645,796,743 : x
  2. Step 2: Convert to fraction form
    432,420,239/645,796,743 = 645,796,743/x
  3. Step 3: Cross multiply
    432,420,239x = 645,796,743 × 645,796,743
  4. Step 4: Simplify right side
    432,420,239x = 417,053,433,269,408,064
  5. Step 5: Solve for x
    x = 417,053,433,269,408,064/432,420,239
  6. Step 6: Final answer
    x = 964,463,259.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.